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Answers.everydaycalculation.com » Compare fractions

Compare 40/45 and 56/60

40/45 is smaller than 56/60

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 60 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 45 × 4 = 180,
    40/45 = 40 × 4/45 × 4 = 160/180
  3. Likewise, for the 2nd fraction, since 60 × 3 = 180,
    56/60 = 56 × 3/60 × 3 = 168/180
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 160/180 < 168/180 or 40/45 < 56/60

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